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Finding the Fourth Proportional to 9,909.52, 13,674.63 and 5,717.50

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Solution

The fourth proportional to 9,909.52, 13,674.63 and 5,717.50 is: 7,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.52 : 13,674.63 = 5,717.50 : x
  2. Step 2: Convert to fraction form
    9,909.52/13,674.63 = 5,717.50/x
  3. Step 3: Cross multiply
    9,909.52x = 13,674.63 × 5,717.50
  4. Step 4: Simplify right side
    9,909.52x = 78,184,697.03
  5. Step 5: Solve for x
    x = 78,184,697.03/9,909.52
  6. Step 6: Final answer
    x = 7,889.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.